4(2). Please show your calculations & explain steps by steps. Determines the vector equation: A) from the line in R2 that goes through the points (3, -6) and (0, -1). B) of the plan in R3 that contains the points (-6, 1, 0), (4, -3, 5) ret (-7, -2, -4).

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: Let L₁ be the line passing through the points Q₁=(4, -2,-4) and Q₂=(3, 1, -7) and let L₂ be the line…

A:

Q: 1. Given three points A(1,-2), B(2,-1), and C(0,3). Determine: a. Equation of the line through A and…

A:

Q: 35. For m = (-5, -6) and = (6, −9) find the sum of the vector three times the magnitude of m and the…

A:

Q: Find the point functions t= d6i +(e-6); +(-€)4 and 40=(2+2-/it (5- €);t (1-56)4 Intersect. at which…

A: Given: Two vector functions as r1t=2ti+t2-6j+-13t3k and r2t=2+2ti+5-tj+1-5tk, To find: The…

Q: 1. Draw the vector V that goes from the origin to the point (-4, -6). (a) Find V (b) Write V in…

A:

Q: perpendicular to (x, y, z) = (1, -2,0) + r(1, -1, 1) through P(1, 3,5) [parametric equations]

A:

Q: Which of the following Is a direction vector for the line through A(5, -3) and B(-1, 2)? Select one:…

A: For the direction vector, we just find out the direction of the given point.

Q: The position vector of a particle r(t) = ti + 7 In j+k. Find the acceleration 5 +t vector at t = 1 7…

A: Let r(t) be a twice differentiable vector valued function representing the position vector of a…